Questions tagged [bicategories]

Bicategories are weak form of categories enriched over the category of small categories.

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1answer
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Right (bi)adjoint of the inclusion of $\mathbf{Grpd}$ in $\mathbf{Cat}$

Let $\mathbf{Grpd}$ and $\mathbf{Cat}$ be respectively the 2-categories of small groupoids and of small categories. At the 1-categorical level, the inclusion $\mathbf{Grpd}\rightarrow\mathbf{Cat}$ has ...
3
votes
1answer
63 views

Are there “distributive bicategories”?

In the bicategory $\mathsf{Bimod}$ of rings, bimodules and bimodule morphisms there is also a direct sum making every category $\mathsf{Bimod}(\mathsf{R},\mathsf{S})$ of $(\mathsf{R},\mathsf{S})$-...
2
votes
0answers
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How far are functors valued in Ho(Cat) from pseudofunctors?

Basically my question is: Does the Grothendieck construction make sense for (some?) functors valued in $\mathrm{Ho}\,(\mathbf{Cat})$? By $\mathrm{Ho}\,(\mathbf{Cat})$, I mean the category whose ...